Results 91 to 100 of about 41,540 (204)
Weak Hopf symmetry and tube algebra of the generalized multifusion string-net model
Journal of High Energy PhysicsWe investigate the multifusion generalization of string-net ground states and lattice Hamiltonians, delving into their associated weak Hopf symmetries. For the multifusion string-net, the gauge symmetry manifests as a general weak Hopf algebra, leading ...
Zhian Jia +2 more
doaj +1 more source
Engineering Reports, Volume 7, Issue 10, October 2025.This work presents a secure telemedicine cryptosystem based on a novel 4D memristive chaotic oscillator and a Dispatched Gray Code Scrambler (DGCS). Implemented on FPGA, the system ensures power‐efficient encryption, making it suitable for real‐time medical image transmission in IoT healthcare environments.
Fritz Nguemo Kemdoum +3 more
wiley +1 more source
Holomorphic field theories and higher algebra
Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 2903-2974, October 2025.Abstract Aimed at complex geometers and representation theorists, this survey explores higher dimensional analogs of the rich interplay between Riemann surfaces, Virasoro and Kac‐Moody Lie algebras, and conformal blocks. We introduce a panoply of examples from physics — field theories that are holomorphic in nature, such as holomorphic Chern‐Simons ...
Owen Gwilliam, Brian R. Williams
wiley +1 more source
Hopf modules in the braided monoidal category $_LM$
Le Matematiche, 2011 Suppose that L is a quasitriangular weak Hopf algebra with a bijective antipode and H is a weak Hopf algebra in the braided nonoidal category LM. We prove that the fundamental theorem for right H-Hopf modules in LM.
Yin Yanmin, Zhang Mingchuan
doaj
Deformation of the Hopf algebra of plane posets [PDF]
, 2012 We describe and study a four parameters deformation of the two products and the coproduct of the Hopf algebra of plane posets. We obtain a family of braided Hopf algebras, generally self-dual.
Foissy, Loïc
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A note on the magnetic Steklov operator on functions
Mathematika, Volume 71, Issue 4, October 2025.Abstract We consider the magnetic Steklov eigenvalue problem on compact Riemannian manifolds with boundary for generic magnetic potentials and establish various results concerning the spectrum. We provide equivalent characterizations of magnetic Steklov operators which are unitarily equivalent to the classical Steklov operator and study bounds for the ...
Tirumala Chakradhar +3 more
wiley +1 more source
Hopf (Bi-)Modules and Crossed Modules in Braided Monoidal Categories
, 1995 Hopf (bi-)modules and crossed modules over a bialgebra B in a braided monoidal category C are considered. The (braided) monoidal equivalence of both categories is proved provided B is a Hopf algebra (with invertible antipode).
Bespalov, Yuri, Drabant, Bernhard
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The asymptotic Hopf algebra of Feynman integrals
Journal of High Energy PhysicsThe method of regions is an approach for developing asymptotic expansions of Feynman Integrals. We focus on expansions in Euclidean signature, where the method of regions can also be formulated as an expansion by subgraph.
Mrigankamauli Chakraborty, Franz Herzog
doaj +1 more source
On Hopf Galois Hirata extensions
International Journal of Mathematics and Mathematical Sciences, 2003 Let H be a finite-dimensional Hopf algebra over a field K, H* the dual Hopf algebra of H, and B a right H*-Galois and Hirata separable extension of BH. Then B is characterized in terms of the commutator subring VB(BH) of BH in B and the smash product VB ...
George Szeto, Lianyong Xue
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(Non)Commutative Hopf algebras of trees and (quasi)symmetric functions [PDF]
, 2007 The Connes-Kreimer Hopf algebra of rooted trees, its dual, and the Foissy Hopf algebra of of planar rooted trees are related to each other and to the well-known Hopf algebras of symmetric and quasi-symmetric functions via a pair of commutative diagrams ...
Hoffman, Michael E.
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